Types of Number, Prime Factors, HCF & LCM (Edexcel IGCSE Maths A: Foundation): Exam Questions

Exam code: 4MA1

22 mins6 questions
1a
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2 marks

Find the Highest Common Factor (HCF) of 140 and 245.

1b
3 marks

A machine has a buzzer that sounds every 50 minutes.
The machine also has a bell that sounds every 80 minutes.

The buzzer and the bell sound together at 10 am.

Find the time at which they next sound together.

2a
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1 mark

6 9 17 20 28 63

From the numbers in the box, write down the multiple of 5.

2b
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1 mark

From the numbers in the box, write down the factor of 30.

2c
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1 mark

From the numbers in the box, write down the square number

2d
1 mark

From the numbers in the box, write down the prime number

3a
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2 marks

Write 300 as a product of its prime factors. Show your working clearly.

3b
2 marks

A equals 2 cross times 2 cross times 2 cross times 3 cross times 3 cross times 5

B equals 2 cross times 2 cross times 3 cross times 3 cross times 3 cross times 5

Find the lowest common multiple (LCM) of 5 A and 7 B
Show your working clearly.

4a
1 mark

Here is a list of numbers.

9 11 13 15 21 60

From the numbers in the list, write down the even number.

4b
1 mark

From the numbers in the list, write down the square number

4c
1 mark

From the numbers in the list, write down the multiple of 7

4d
1 mark

From the numbers in the list, write down the factor of 30

5a
2 marks

Here is a list of numbers.

9 11 25 27 33 40

From the numbers in the list, write down

(i) an even number

(ii) a cube number

5b
1 mark

Hassan says,

“the sum of two prime numbers is always even”

Give an example to show that Hassan is not correct.

6
2 marks

A equals 5 cubed cross times 7 cubed cross times 11 to the power of 6 and B equals 5 to the power of 6 cross times 7 squared cross times 11 to the power of 4

Find the highest common factor (HCF) of Aand B
Give your answer as a product of powers of its prime factors.